die Freude
joy
A strong, positive feeling of happiness and satisfaction.
Die Freude über das bestandene Examen war riesig.
The joy over passing the exam was enormous.

joy
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joy
A strong, positive feeling of happiness and satisfaction.
Die Freude über das bestandene Examen war riesig.
The joy over passing the exam was enormous.

'Die Freude' (joy) belongs to a word family with the reflexive verb 'sich freuen' (to be happy/look forward to) and the adjective 'freudig' (joyful). All of these words express a positive feeling.
Ich freue mich schon auf das Wochenende.
I am already looking forward to the weekend.
The prepositions are crucial: 'Freude über' (+ accusative) describes the reaction to a specific event. 'Freude an' (+ dative) describes a more lasting pleasure in a thing or activity.
Die Freude über das Geschenk war groß.
The joy over the gift was great.
Common combinations are 'große Freude' (great joy), 'wahre Freude' (true joy), or 'diebische Freude' (malicious delight). You can also 'empfinden' (feel), 'spüren' (sense/feel), or 'zeigen' (show) joy.
Es war eine wahre Freude, ihr beim Spielen zuzusehen.
It was a true joy to watch her play.
In the fixed expression 'jemandem eine Freude machen' (to make someone happy), the person who receives the gift or nice gesture is always in the dative.
Ich möchte dir mit diesem kleinen Geschenk eine Freude machen.
I would like to make you happy with this small gift.
happiness / luck
'das Glück' and 'die Freude' both describe a positive feeling. 'Glück' is often a deeper state of contentment or a strong positive feeling about life. 'Freude' is often a feeling in a specific situation, for example about a piece of news, a gift, or a meeting. They can be confused because joy can be part of happiness. In practical terms: 'Freude' fits better with a specific occasion, while 'Glück' fits better with a strong or general feeling.

Die Freude über die gute Nachricht war im ganzen Team zu spüren.
The joy over the good news could be felt throughout the whole team.
Nach der Geburt ihres Kindes fühlte sie großes Glück.
After the birth of her child, she felt great happiness.